Question : Directions: Select the number that can replace the question mark (?) in the following series. 7, 11, 20, 36, 61, ?
Option 1: 97
Option 2: 99
Option 3: 95
Option 4: 94
Correct Answer: 97
Solution : Given: 7, 11, 20, 36, 61, ?
Add the square of the consecutive numbers starting from 2 in each number to obtain the next number. 7 + (2) 2 = 7 + 4 = 11 11 + (3) 2 = 11 + 9 = 20 20 + (4) 2 = 20 + 16 = 36 36 + (5) 2 = 36 + 25 = 61 61 + (6) 2 = 61 + 36 = 97
So, the missing number is 97. Hence, the first option is correct.
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